, Volume 7, Issue 1-3, pp 49-61

On Borcherds Products Associated with Lattices of Prime Discriminant

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Abstract

We show that certain spaces of vector valued modular forms are isomorphic to spaces of scalar valued modular forms whose Fourier coefficients are supported on suitable progressions.

As an application we give a very explicit description of Borcherds products on Hilbert modular surfaces.